A man wants to put a fence around a
square lot with sides of 68 feet. How
many feet of fencing is needed? If
each 8-foot section of fence costs
$25.00, how much will the fence cost?

The lowest temperature with a z score of of -2.49 is 24.0 ˚F

Z scores, measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

Definition of variables

mean, μ = 4.4˚F

standard deviation, σ = 12.2 ˚F

X = lowest temperature

z = -2.49

substituting into the formula

-2.49 =  (X - μ) / σ

-2.49 = (X - 64.4) / 12.2

-2.49 * 12.2 = X - 64.4

-30.378 + 64.4 = X

X = 34.022

X = 34.0  (to one decimal place)

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The correct option regarding the expected profit of the company is given as follows:

Dugitalis can expected to make money from selling these processors.

In the long run, they should expect to make $116 on each processor sold.

The expected value of a discrete probability distribution is given by the sum of each outcome multiplied by it's respective probability.

The distribution of profits in this problem is given as follows:

For the second probability, we have the number 2348, which is the cost of manufacturing each processor, as 2800 - 452 = $2,348.

Then the expected profit over time is given as follows:

E(X) = 0.88 x 452 - 2348 x 0.12 = $116.

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Explanation:

Assuming points T, U, and V are all on the same straight line, then we can say the following:

TU + UV = TV

(4x) + (x+2) = 7

5x+2 = 7

5x = 7-2

5x = 5

x = 5/5

x = 1

Now we can determine the length of each piece.

as a check: TU + UV = 4+3 = 7 which matches perfectly with TV = 7. The answer is confirmed.

Once again, this assumes that points T, U, and V are collinear (i.e. on the same straight line). It also assumes that U is between T and V.

Answers:

Team A = 175 people

Team B = 150 people

This is before the 45 students transfer from A to B.

===========================================================

Explanation:

x = number of people in team A

y = number of people in team B

These counts are before the 45 pupils transfer from A to B.

The counts are in ratio 7:6, which means,

x/y = 7/6

6x = 7y

x = 7y/6

If we subtract 45 people from team A, we have x-45 people left. Those 45 people go to team B to have y+45 pupils there.

The quantities x-45 and y+45 are in ratio 2:3, so,

(x-45)/(y+45) = 2/3

3(x-45) = 2(y+45)

3x-135 = 2y+90

3(7y/6)-135 = 2y+90 .... plug in x = 7y/6

21y/6 - 135 = 2y+90

6*( 21y/6 - 135 ) = 6*(2y+90)

21y-810 = 12y+540

21y-12y = 540+810

9y = 1350

y = 1350/9

y = 150

x = 7y/6

x = 7(150)/6

x = 175

We have 175 people on team A, and 150 people on team B.

This is before the 45 students transfer from A to B.

-------------------

Check:

x/y = 175/150 = (7*25)/(6*50) = 7/6

This shows x and y are in ratio 7:6 to match the instructions.

x-45 = 175-45 = 130

y+45 = 150+45 = 195

(x-45)/(y+45) = 130/195 = (2*65)/(3*65) = 2/3

And we have the updated counts in the ratio 2:3, which matches the stated info in the instructions. The answers are fully confirmed.

The selling price of the radio with a cost price of 550 and sold at a profit of 35 is 585.

The selling price is how much a buyer pays for a product or service.

To calculate the selling price of the radio, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the selling price of the radio is 585.

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With percent increase or decrease situations, you have to consider the starting point as being 100%.  So if the account increased by 27%, it's now 100% + 27% or 127% of it's original value.

As a decimal, 127% = 1.27.  So 1.27 is your multiplier in this example.

And 1.27 • 7600 = 9652, which is the ending balance.

This gets the same result as finding 27% of 7600 and adding it back on to 7600, but does it more efficiently.

There is only one solution to the nonlinear system.

What is Nonlinear system?

A nonlinear system is a system in which the change of the output is not proportional to the change of the input.

The solutions of a nonlinear system of equations are in the form of x and y values and these are the points at which the graphs intersect. Such systems have no solution, or one or more solutions.

So, here function 1 is a parabola and function 2 is a straight line. The parabola is touching the straight line at one point only, so this has one solution.

Hence the answer is there is only one solution to the nonlinear system.

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Assuming that the rotation is anticlockwise (as it is not defined) the coordinates of B after the rotation are (-5, 1), so the correct option is C.

If the pentagon is rotated 90°, then all the vertices are also rotated 90° about the origin.

Here we don't know if the rotation is clockwise or anticlockwise, so we assume it is anticlockwise, as this is the standard rotation.

The orignal coordiates of point B are (1, 5)

This is on the first quadrant, a rotation of 90° anticlockwise will:

So we will go from a point (x, y) to (-y, x)

Then the new coordinates of B' are (-5, 1)

Thus, the correct option is C.

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Answer: Ad Hominum

Step-by-step explanation:

It just attacks the person.

Answer:

1680

Step-by-step explanation:

Answer:

33.49 degrees

Step-by-step explanation:

The sine of the angle is 32/58 (Opposite over Hypotenuse from SOH CAH TOA), so the angle measure is the arcsine or sin^-1 of 32/58 on a calculator which is approximately 33.49 in degrees. An issue you could be having is your calculator being in radian instead of degree mode by default.

The width and the length of the slab are 2 meters and 12 meters, respectively

From the question, we have the following parameters that can be used in our computation:

Width of a rectangular slab of concrete = 10m less than the length.

Area = 24 m²

These parameters can be represented as

Width = Length - 10

Area = Length * Width

So, we have

w = l - 10

A = lw

Also, we have

A = 24

Substitute w = l - 10 in A = lw

A = l(l - 10)

So, we have

l(l - 10) = 24

Expand

l² - 10l = 24

This gives

l² - 10l - 24 = 0

Expand

l² + 2l - 12l - 24 = 0

Factorize

(l + 2)(l - 12) = 0

So, we have

l = -2 and l = 12

The length cannot be negative

So, we have

l = 12

Recall that

w = l - 10

So, we have

w = 12 - 10

Evaluate

w = 2

Hence, the dimensions are 2 meters and 12 meters, respectively

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Possible question

The width of a rectangular slab of concrete is 10m less than the length. The area is 24 m ^2

Compute the dimensions of the slab

In an isosceles triangle, two angles and two sides are always equal.

In geometry, an isosceles triangle is one with at least two sides of equal length.

It can be defined as having exactly two equal-length sides or as having at least two equal-length sides, with the equilateral triangle being an exception to the second definition.

Isosceles Triangle: A triangle is referred to as being isosceles if any of its two sides is equal.

if the triangle has X, Y, and Z as its three sides.

The triangle is isosceles when X = Y, X = Z, or Y = Z.

Scalene triangles are recognized as triangles without equal sides.

Therefore, in an isosceles triangle, two angles and two sides are always equal.

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The probability of advancing five spaces is 0.2307.

Given that, the odds in favor of advancing five spaces are 3/10.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

The probability of advancing five spaces can be obtained as:

P =Odds/1+Odds

= [tex]\frac{\frac{3}{10} }{1+\frac{3}{10} }[/tex]

= [tex]\frac{\frac{3}{10} }{\frac{13}{10} }[/tex]

= 3/13

= 0.2307

Therefore, the probability of advancing five spaces is 0.2307.

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The ordered pairs are of the form (x, y < 2x - 2), some examples of solutions are (0, -3) and (0, -4)

An ordered pair will be a solution if, when we replace the values of the ordered pair on the inequality, the inequality becomes true.

Here the inequality is:

y + 2 < 2x

Isolating one of the variables we get:

y < 2x - 2

Now let's assume we impose x = 0, then the inequality becomes:

y < 2*0 - 2

y < -2

So y can be any value smaller than -2, then for example:

(0, -3), (0, -4)...

All of these are solutions of the inequality.

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Right angle is an angle of 90 degrees while complementary angles add up to 90 degrees.

When the sum of two angles is 90°, then the angles are known as complementary angles.

A right angle is an angle of 90°.

Perpendicular lines are lines that intersect at a 90° angle. Perpendicular lines forms a right angle.

The complementary angle theorem states, "If two angles are complementary to the same angle, then they are congruent to each other".

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Answer:

66 es pero que te ayude ■■♤♤

Answer:

12, 24,72,96,156

Step-by-step explanation:

1/2 package would be 1/2 of 24 which is 12

21 x 24 = 24

3 x 24 = 72

4 x 24 = 72

We know that 3 packages is 72 so 6 packages is double that at 144.  We also know that have a package is 12. so 144 + 12 = 156

Answer:

1/2 package = 1/2 of 24 = 12 pencils

1 package = 24 pencils

3 packages = 24*3 = 72 pencils

4 packages = 24*4 = 96 pencils

6 1/2 packages = 24*6.5 = 156

Step-by-step explanation:

1 package = 24 pencils

1/2 package = 1/2 of 24 = 12 pencils

1 package = 24 pencils

3 packages = 24*3 = 72 pencils

4 packages = 24*4 = 96 pencils

6 1/2 packages = 24*6.5 = 156

Answer:

1.0

Step-by-step explanation:

Hope this helps! :)

The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that, 25/24

now, we have to rounded to the nearest tenth

as decimal, so, we have to divide 25 by 24

i.e. 25/24 = 1.041

we get, 1.041 => 1.0

so, it is 1.0  a decimal rounded to the nearest tenth

Hence, The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .

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∠C is not congruent to any angle in DEF. Hence, option C is the correct answer.

From the given figure below,

In ΔABC,

∠A=33° and ∠C=88°

By angle sum property of triangles,

∠A+∠B+∠C=180°

33°+∠B+88°=180°

∠B=180°-33°-88°  [subtracting 33° and 88° from both sides]

∠B=59°

Now, In ΔDEF,

∠D=33° and ∠E=58°

By angle sum property of triangles,

∠D+∠E+∠F=180°

33°+58°+∠F=180°

∠F=180°-33°-58°  [subtracting 33° and 58° from both sides]

∠F=89°

Thus, ΔABC is not congruent to Δ DEF as∠C and ∠B are not congruent to any angle of the Δ DEF .

Hence, ∠C is not congruent to any angle in DEF."

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The complete question is -

Are the triangles congruent? Why or why not?

A) Yes, ∠A ≅∠D and AB ≅ DE.

B) Yes, they are congruent by either AAS or ASA.

C) No,∠C is not congruent to any angle in ΔDEF.

D) No, the congruent sides do not correspond.

The 3 medians of triangle are the line segments that connects a vertex to the midpoint of the opposite side.

A triangle is a three-sided polygon with three vertices and three sides that enclose three angles.It can be an acute-angled, obtuse-angled, or right-angled triangle depending on the angles measured. The sum of a triangle's interior angles is 180 degrees.

Median of a Triangle:-

Thus, the median of triangle line segment that connects a vertex to the midpoint of the opposite side.

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Answer:

  zero

Step-by-step explanation:

You want to know the remainder of the polynomial function for the divisor to be a factor?

A divisor is a factor of the dividend in any division problem if and only if the remainder is zero (0).

The divisor will be a factor of a polynomial function if division of the function by that divisor has a remainder of zero.

Answer:

y=11x-5

Step-by-step explanation:

y=mx+b

28=11(3)+b

28=33+b

b=-5

y=11x-5

The height of the tree to the nearest hundredth of a meter is 8.64 meters

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio in mathematics. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios. Even if the values of the antecedent and the consequent are different, if we simplify them, we will still arrive at the same value.

How to solve?

Mia's height=1.65 m

Tree's equivalent height=26.45m

Mia's height w.r.t. the tree's shadow=26.45-21.40 =5.05m

Ratio of the equivalent height w.r.t original height=5.05:1.65 =3.06

Tree's original height= tree's equivalent height: ratio of Mia's height

                                   = 26.45:3.06 =8.64m

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Prices of two ratios in the ratio is 4 : 1.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.

For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole.

For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.

Let us assume price of radios are x and y

According to the question

[tex]\frac{x + 20}{y+20} =\frac{5}{2}\\2x+40=5y+100\\2x-5y=60[/tex]-------------------------- eq(1)

and

[tex]\frac{x-5}{y-5} =\frac{5}{1}\\5y-x = 20[/tex]

5y-x = 20

multiplying this equation by 2

we get

10y-2x = 40 ------------------ eq(2)

adding eq 1 and 2

we get

5y=100

y=20

solving further we get x=80

Thus the ratio is 4 : 1.

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According to the equation (x-5)²+(y+6)2=4², the center of a circle is (5,-6).

A circle is, to put it simply, a rounded shape devoid of any edges or line segments.

Its geometric form is that of a closed curve.

Following a moving point in a plane while keeping a fixed distance from another point will result in the closed shape of a circle.

The word circle derives from the Greek word kirks, which means hoop or ring.

So, the equation we have is (x-5)²+(y+6)2=4².

The circle equation's center radius form is:

(x - h)² + (y - k)² = r²

Considering the information we have:

(x - 5)² + (y + 6)² = 4²

Where the radius is 4 and the center is (5, -6).

Therefore, according to the equation (x-5)²+(y+6)2=4², the center of a circle is (5,-6).

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Correct question:
What is the center of a circle represented by the equation (x-5)²+(y+6)2=4²?

Using the trigonometric ratio of sin, cos and tan of Y, the values are 12.7, 12.7 and 12.4 degrees respectively

This involves using ratios of sine, cosine, tangent, cot, cosec, sec to find the missing sides of a right angle triangle.

In the triangle given;

Using angle Y as a reference point;

Sin Y = opposite / hypothenuse

sin Y = 9 / 41

Y = sin⁻¹ (9/41)

Y = 12.7°

The cosine value of Y

cos Y = adjacent / hypothenuse

cos Y = 40 / 41

Y = cos⁻¹(40 / 41)

Y = 12.7°

The tangent value of Y is

tan Y = opposite / adjacent

tan Y = 9 / 41

Y = tan⁻¹(9/41)

Y = 12.4°

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